506097984 has 112 divisors (see below), whose sum is σ = 1610969600. Its totient is φ = 136982016.

The previous prime is 506097953. The next prime is 506097989. The reversal of 506097984 is 489790605.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×506097984² = 512270338817728512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506097989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15627 + ... + 35445.

Almost surely, 2^506097984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805484800).

506097984 is an abundant number, since it is smaller than the sum of its proper divisors (1104871616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506097984 is a wasteful number, since it uses less digits than its factorization.

506097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19860 (or 19850 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 506097984 is about 22496.6216130334. The cubic root of 506097984 is about 796.9141455157.

The spelling of 506097984 in words is "five hundred six million, ninety-seven thousand, nine hundred eighty-four".